Q1.
Now, using both your hands, push the table away from you, i.e., apply a force on the table in the forward direction as shown in Fig. 6.23a. What happens to you? Does the chair you are sitting upon move in the opposite direction?
Answer
You (with the chair) move backwards — yes, the chair moves in the direction opposite to your push.
You push the table forwards with force F
The table pushes you backwards with the same force F
Your feet are off the floor, so no friction holds you
Net force on you + chair = F backwards → you accelerate backwards
The table pushes you backwards with the same force F
Your feet are off the floor, so no friction holds you
Net force on you + chair = F backwards → you accelerate backwards
Why it happens: a force never acts alone — at least two objects must interact. When your hands press on the table, the table presses back on your hands with an equal and opposite force. The heavy table hardly budges because of its large mass and the friction under it, but you are on wheels, so the backward force on you is essentially unopposed and you roll away.
Tip: lifting your legs off the floor matters. With your feet down, friction from the floor would balance the table's push and you would not move.